31313010133120 has 64 divisors (see below), whose sum is σ = 75404071373400. Its totient is φ = 12433779171328.

The previous prime is 31313010133091. The next prime is 31313010133127. The reversal of 31313010133120 is 2133101031313.

It can be written as a sum of positive squares in 4 ways, for example, as 25533294090304 + 5779716042816 = 5053048^2 + 2404104^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 31313010133091 and 31313010133100.

It is not an unprimeable number, because it can be changed into a prime (31313010133127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178476475 + ... + 178651834.

Almost surely, 2^{31313010133120} is an apocalyptic number.

It is an amenable number.

31313010133120 is an abundant number, since it is smaller than the sum of its proper divisors (44091061240280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31313010133120 is a wasteful number, since it uses less digits than its factorization.

31313010133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357128465 (or 357128453 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 31313010133120 its reverse (2133101031313), we get a palindrome (33446111164433).

The spelling of 31313010133120 in words is "thirty-one trillion, three hundred thirteen billion, ten million, one hundred thirty-three thousand, one hundred twenty".